On the Undulatory Theory of Optics: Designed for the Use of Students in the University |
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Page 1
... disturbance of the particles from their state of rest , and their motion , may be in any direction whatever . 2. For example : in fig . 1 , let the line ( a ) represent a number of particles in their position of rest : and suppose that ...
... disturbance of the particles from their state of rest , and their motion , may be in any direction whatever . 2. For example : in fig . 1 , let the line ( a ) represent a number of particles in their position of rest : and suppose that ...
Page 5
... disturbance at the time t of a particle whose original ordinate is x , the same state of disturbance must hold at the time t + t ' for a particle whose original ordinate is x + vt ' . Or if express the form of the function , $ ( x , t ) ...
... disturbance at the time t of a particle whose original ordinate is x , the same state of disturbance must hold at the time t + t ' for a particle whose original ordinate is x + vt ' . Or if express the form of the function , $ ( x , t ) ...
Page 6
... disturbance of a particle is a sin { ( ut - a ) +1 } . For while we consider the motion of a single particle only , x is constant , and the expression is пх a sin ( nt + C ) , where CA- v At the same time it is a function of vt - x ...
... disturbance of a particle is a sin { ( ut - a ) +1 } . For while we consider the motion of a single particle only , x is constant , and the expression is пх a sin ( nt + C ) , where CA- v At the same time it is a function of vt - x ...
Page 7
... disturbance λ ( 2π = a sin λ ' ( vt − x ) + 4 } * , for which we may put a sin ( vt − x ) } when a single undulation only is considered . It is to be ob- served that a is the maximum vibration of any particle . PROP . 5. To explain ...
... disturbance λ ( 2π = a sin λ ' ( vt − x ) + 4 } * , for which we may put a sin ( vt − x ) } when a single undulation only is considered . It is to be ob- served that a is the maximum vibration of any particle . PROP . 5. To explain ...
Page 8
... disturbance of a particle d2X dt = - v2 d2X dx2 = 0 ( v being a constant , mgH in the common notation , and X being the disturbance from the state of rest ) , and the solu- tion is X = $ ( vt − x ) + ¥ ( vt + x ) , - where the form of ...
... disturbance of a particle d2X dt = - v2 d2X dx2 = 0 ( v being a constant , mgH in the common notation , and X being the disturbance from the state of rest ) , and the solu- tion is X = $ ( vt − x ) + ¥ ( vt + x ) , - where the form of ...
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Common terms and phrases
2π λ a² cos² Algebra analyzing plate angle of incidence aperture axis BROOKE FOSS WESTCOTT Cambridge cloth coefficient common light Consequently Crown 8vo dicular different colours direction displacement distance disturbance double refraction dx dy ELEMENTARY TREATISE elliptically polarized English equal equation ether explain expression Extra fcap extraordinary ray fcap Fresnel's rhomb front glass Iceland spar integral intensity of light investigation Latin length Mathematical motion nearly Newton's rings ordinary ray original particles pencil perpen perpendicular phænomena plane of incidence plane of polarization plane of reflection polarized light position principal plane prism produced Professor PROP proportion radius reflected ray represented retardation rhombohedron Schools screen Second Edition seen shews similar sin² suppose surface tion tourmaline undulation velocity vibration vibrations perpendicular vt-x λατ λό όλ
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